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Finding the Fourth Proportional to 57,791.50, 86,712.29 and 20,378.30

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Solution

The fourth proportional to 57,791.50, 86,712.29 and 20,378.30 is: 30,576.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,791.50 : 86,712.29 = 20,378.30 : x
  2. Step 2: Convert to fraction form
    57,791.50/86,712.29 = 20,378.30/x
  3. Step 3: Cross multiply
    57,791.50x = 86,712.29 × 20,378.30
  4. Step 4: Simplify right side
    57,791.50x = 1,767,048,625.75
  5. Step 5: Solve for x
    x = 1,767,048,625.75/57,791.50
  6. Step 6: Final answer
    x = 30,576.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.